http://www.bing.com:80/search?q=Continuous+Flow+APISearch resultshttp://www.bing.com:80/s/a/rsslogo.gifhttp://www.bing.com:80/search?q=Continuous+Flow+APICopyright © 2026 Microsoft. All rights reserved. These XML results may not be used, reproduced or transmitted in any manner or for any purpose other than rendering Bing results within an RSS aggregator for your personal, non-commercial use. Any other use of these results requires express written permission from Microsoft Corporation. By accessing this web page or using these results in any manner whatsoever, you agree to be bound by the foregoing restrictions.https://math.stackexchange.com/questions/5114829/continuous-vs-discrete-variablesBoth discrete and continuous variables generally do have changing values—and a discrete variable can vary continuously with time. I am quite aware that discrete variables are those values that you can count while continuous variables are those that you can measure such as weight or height.Sat, 28 Mar 2026 22:48:00 GMThttps://math.stackexchange.com/questions/539115/proof-of-continuous-compounding-formulaFollowing is the formula to calculate continuous compounding A = P e^(RT) Continuous Compound Interest Formula where, P = principal amount (initial investment) r = annual interest rate (as aWed, 22 Apr 2026 06:12:00 GMThttps://math.stackexchange.com/questions/1385818/how-to-show-a-function-is-absolutely-continuous5 The Cantor function (or the Devil's staircase) provides an example of a continuous function that is not absolutely continuous.Sun, 19 Apr 2026 22:00:00 GMThttps://math.stackexchange.com/questions/653100/difference-between-continuity-and-uniform-continuityTo understand the difference between continuity and uniform continuity, it is useful to think of a particular example of a function that's continuous on $\mathbb R$ but not uniformly continuous on $\mathbb R$.Tue, 21 Apr 2026 15:03:00 GMThttps://math.stackexchange.com/questions/556137/eigenvalues-are-continuousThese functions aren't even defined, I don't see how they could be continuous. What is true is that the set of eigenvalues is continuous (for the right topology on the power set).Fri, 24 Apr 2026 15:42:00 GMThttps://math.stackexchange.com/questions/323610/the-definition-of-continuous-function-in-topology22 I am self-studying general topology, and I am curious about the definition of the continuous function. I know that the definition derives from calculus, but why do we define it like that?I mean what kind of property we want to preserve through continuous function?Thu, 16 Apr 2026 00:00:00 GMThttps://math.stackexchange.com/questions/5074674/what-does-it-mean-that-every-metric-is-continuous6 "Every metric is continuous" means that a metric $d$ on a space $X$ is a continuous function in the topology on the product $X \times X$ determined by $d$.Sun, 19 Apr 2026 23:19:00 GMThttps://math.stackexchange.com/questions/3364/topological-properties-preserved-by-continuous-mapsYou'll find topological properties with indication of whether they are preserved by (various kinds of) continuous maps or not (such as open maps, closed maps, quotient maps, perfect maps, etc.). For mere continuous most things have been mentioned: simple covering properties (variations on compactness, connectedness, Lindelöf) and separability.Fri, 24 Apr 2026 14:24:00 GMThttps://math.stackexchange.com/questions/110573/continuous-mapping-on-a-compact-metric-space-is-uniformly-continuousBasic real analysis should be a source of at least some intuition (which is misleading at times, granted). Can you think of some compact sets in $\mathbf R$? Are continuous functions on those sets uniformly continuous? Can you remember any theorems regarding those? Another idea is to start to try to prove the statement and see whether things start to fall apart.Wed, 22 Apr 2026 18:22:00 GMThttps://math.stackexchange.com/questions/4556713/examples-of-continuous-functions-with-compact-supportI would like some simple examples of continuous functions with compact support. I was trying to come up of a function $\rm I\!R\rightarrow\rm I\!R$, but compact support and continuity seem to beWed, 22 Apr 2026 14:26:00 GMT